GCD of 126, 223, 693, 405 Calculator

Given Input numbers are 126, 223, 693, 405

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Greatest Common Divisior

We found the divisors of 126, 223, 693, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 223, 693, 405 is 1.

Therefore, GCD of numbers 126, 223, 693, 405 is 1

Given Input Data is 126, 223, 693, 405

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 223 is 223

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(126, 223) = 28098

GCD(126, 223) = ( 126 x 223 ) / 28098

GCD(126, 223) = 28098 / 28098

GCD(126, 223) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

GCD of 126, 223, 693, 405 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 286, 402, 313
• GCD of 181, 150, 721, 245
• GCD of 837, 672, 742, 898
• GCD of 100, 368, 148, 603
• GCD of 136, 896, 430, 706

1. What is the GCD of 126, 223, 693, 405?

GCD of 126, 223, 693, 405 is 1

2. Where do I get the detailed procedure to find GCD of 126, 223, 693, 405?

You can find a detailed procedure to find GCD of 126, 223, 693, 405 on our page.

3. How to find GCD of 126, 223, 693, 405 on a calculator?

You can find the GCD of 126, 223, 693, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.